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arXiv · 1801.07559

Computations of Orbits for the Lubin-Tate Ring

Agnes Beaudry·Naiche Downey·Connor McCranie·Luke Meszar·Andy Riddle·Peter Rock
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Abstract

We take a direct approach to computing the orbits for the action of the automorphism group $\mathbb{G}_2$ of the Honda formal group law of height $2$ on the associated Lubin-Tate rings $R_2$. We prove that $(R_2/p)_{\mathbb{G}_2} \cong \mathbb{F}_p$. The result is new for $p=2$ and $p=3$. For primes $p\geq 5$, the result is a consequence of computations of Shimomura and Yabe and has been reproduced by Kohlhaase using different methods.

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Agnes Beaudry, Naiche Downey, Connor McCranie, Luke Meszar, Andy Riddle, Peter Rock. 2018-12-21. Computations of Orbits for the Lubin-Tate Ring. https://doi.org/10.1007/s40062-018-00228-7

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